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Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).
\(\dfrac{29}{2}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{12}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{2}\)
\(\dfrac{\sqrt{21}+\sqrt{19}+\sqrt{22}+\sqrt{20}}{2}\)
Calculez \(\dfrac{\sqrt{2}}{2-2\sqrt{2}}\).
\(-\dfrac{\sqrt{2}}{2}-1\)
\(\dfrac{\sqrt{2}}{6}+\dfrac{1}{3}\)
\(\dfrac{1}{\sqrt{2}}-\dfrac{1}{2}\)
\(-\sqrt{2}\)
Calculez \(\dfrac{\sqrt[4]{4a^4}}{\sqrt[3]{2a}}\).
\(\sqrt[5]{2}\sqrt[3]{a^2}\)
\(\sqrt[3]{\frac{a^2}{2}}\)
\(\sqrt[6]{2}\sqrt[3]{a^2}\)
\(\sqrt{2}a\)
Simplifiez l'expression \(\sqrt[4]{a^4+a^4b}\).
\(a(1+\sqrt[4]{b})\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(a\sqrt[4]{1+b}\)
impossible
Simplifiez l'expression \(\displaystyle{\sqrt[n]{\frac{a^{2n+1}}{b^{n+1}}}}\).
\(\displaystyle{\frac{b^{n^2+n}}{a^{2n^2+n}}}\)
\(\displaystyle{\frac{a^2\sqrt[n]{a}}{b\sqrt[n]{b}}}\)
\(\displaystyle{\frac{b^{2n+1}}{a^{3n+1}}}\)
\(\displaystyle{\frac{a^2+\sqrt[n]{a}}{b+\sqrt[n]{b}}}\)
Calculez \(\displaystyle{\frac{\frac{6}{x}+3}{\frac{5}{x}-\frac{2}{x}}}\).
\(3\)
\(2+x\)
\(\dfrac{3x}{x+1}\)
\(0\)
L'opposé du carré du double de 0,4 est
\(0,64\)
\(-0,16\)
\(-0,64\)
\(-0,32\)
Simplifiez l'expression \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).
\(\dfrac{ac^3}{b}\)
\(\dfrac{b}{ac^3}\)
\(\dfrac{c}{a^5b^5}\)
\(\dfrac{c^3}{a^5b^5}\)
Calculez \(\dfrac{1}{2}\left(\dfrac{2}{3}-\dfrac{4}{5}\right)-\dfrac{3}{4}\left(2-\dfrac{1}{3}\right)\).
\(-\dfrac{61}{60}\)
\(-\dfrac{79}{60}\)
\(-\dfrac{19}{60}\)
\(-\dfrac{23}{10}\)
Calculez \(\sqrt[8]{a^6}\sqrt[12]{a^5}\sqrt[6]{a}\).
\(\sqrt[4]{a^3}\)
\(\sqrt[3]{a^4}\)
\(a^{39/10}\)
\(a^{5/96}\)